Prime p₀= 2142515386945838027 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 22 2 34 2 22 2 28 2 (?)
a_n: 0 2 30 32 54 56 90 92 114 116 144 146
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: Chaunton
db: batch=80, k=12, 2 28 2 22 2 34

SPT(16)	2142513079092551663	0 38 60 144 156 180 186 200 234 248 254 278 290 374 396 434	-2307853286364
SPT(16)	2142514094663365537	0 4 6 46 72 100 114 132 214 232 246 274 300 340 342 346	-1292282472490
TPT(14)	2142514442244005651	0 2 48 50 66 68 126 128 180 182 288 290 360 362	-944701832376
TPT(14)	2142514741461662609	0 2 18 20 42 44 138 140 228 230 240 242 252 254	-645484175418
SPT(16)	2142514977090570097	0 10 42 54 72 112 130 144 190 204 222 262 280 292 324 334	-409855267930
SPT(16)	2142515252978104309	0 12 22 40 78 118 120 222 238 340 342 382 420 438 448 460	-133967733718
STPT(10)	2142515401287444047	0 2 42 44 72 74 102 104 144 146	14341606020
STPT(10)	2142515463828672431	0 2 36 38 78 80 120 122 156 158	76882834404
SPT(16)	2142515668197760411	0 10 22 40 58 136 150 156 232 238 252 330 348 366 378 388	281251922384
SPT(16)	2142515876108477173	0 28 36 40 76 120 148 150 166 168 196 240 276 280 288 316	489162639146
STPT(10)	2142516004160673017	0 2 30 32 60 62 90 92 120 122	617214834990